The Influence of Total Catastrophe on Simple Birth-Death-Immigration Processes
Bijoy Kumar Pradhan, Priyaranjan Dash, . Upasana
Asian Research Journal of Mathematics · pp. 27–36 · Published 28 Mar 2022
10.9734/arjom/2022/v18i330364Abstract
Markov Models are very much popular in studying population dynamics subject to catastrophes. So, emphasis is given on a discrete state space models specically when the population change occurs as a result of births, deaths and immigration in presence of catastrophes. A transient solution of simple birth-death-immigration process under the influence of total catastrophes has been found where the catastrophes occur at a constant rate and the population size reduces to zero if the catastrophes occur. Since, such processes are completely explained in terms of probability generating function, the mean and variance, we have analyzed the process focusing on these aspects. A simulation study was also carried out to gather evidences towards the results.
Cited by 1
S. A, N. Viswanath, A. Krishnamoorthy · Sankhya B · 2025
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